{rfName}
Nu

Indexed in

Citations

2

Altmetrics

Analysis of institutional authors

Cañas FAuthor

Share

June 25, 2019
Publications
>
Article
No

Numerical solution of stochastic differential equations used in random vibration

Publicated to: International Review Of Mechanical Engineering. 11 (1): 16-22 - 2017-01-01 11(1), DOI: 10.15866/ireme.v11i1.9800

Authors: Chabani A; Cañas F; Berga A

Affiliations

Tahri Mohammed University of Bechar - Author
Universidad Politécnica de Madrid - Author

Abstract

© 2017 Praise Worthy Prize S.r.l. - All rights reserved. The vibratory environment found in the majority of cases consists of random vibrations. Therefore, each recording of the same phenomena results in a signal different from the previous ones. Such vibrations can be only analyzed in a stochastic manner. In this paper, we present applications of the stochastic differential equations in random vibrations of Mass-Spring-Damper System. The motivation behind stochastic calculus is to define a calculus for situations in which ordinary methods of calculus do not apply due to randomness concerned with the system or the input. In this work, we will construct and implement methods for solving the stochastic differential equation modeling the Mass-Spring-Damper System with disturbances at the source (stochastic input) and stochastic differential equations with random coefficients.

Keywords

Mass-spring-damper systemNumerical solutionStochastic calculusStochastic differential equationsWiener process

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

The work has been published in the journal International Review Of Mechanical Engineering, Q3 Agency Scopus (SJR), its regional focus and specialization in Mechanical Engineering, give it significant recognition in a specific niche of scientific knowledge at an international level.

Independientemente del impacto esperado determinado por el canal de difusión, es importante destacar el impacto real observado de la propia aportación.

Según las diferentes agencias de indexación, el número de citas acumuladas por esta publicación hasta la fecha 2025-12-05:

  • Scopus: 2

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-12-05:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 2 (PlumX).

Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Algeria.